csc^2 xcos^2 x=csc^2 x-1

prove the identity

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello

[tex]csc^2(x)-1=\dfrac{1}{sin^2(x)}-1=\dfrac{1-sin^2(x)}{sin^2(x)}\\=\dfrac{cos^2(x)}{sin^2(x)}=cos^2(x)csc^2(x)[/tex]

hope this helps


Related Questions

can someone please help me

Answers

Answer:

C. Adding 18 to both sides isolates the variable term

Step-by-step explanation:

We can get rid of A and C because we can clearly see that we are adding, not subtracting.

The reason why C is correct is because we are isolating 6x, the term, and not x, the variable.

C. Adding 18 to both sides isolates the variable term.

Your end goal is to isolate “x” which is a variable. However, the variable is multiplied by 6 and is “6x” making it a variable term. You must first isolate the variable term before you can isolate the variable itself. So step 1 is to add 18 to both sides (cancelling it out on the left side of the equals sign), thus isolating the variable term.

Linear Equations HELP ASAP

Answers

Answer: D) y = -1/4x + 6

Step-by-step explanation:

First turn the equation into slope-intercept form: y = 4x + 6

For a line to be perpendicular to another line, it's slope must be the opposite reciprocal of the other perpendicular line.  Thus, the slope of the perpendicular line is -1/4.  As the y-intercept of the line is (0,6), the lines must intersect as (0,6).  Thus, the other line must also have a y-intercept of 6.  Thus, the answer is D.

Hope this helps <3

Josh can paint a whole room in m hours while Kevin can paint a whole room in n hours. How many parts of the room can they paint in one hour if both of them worked together? Express in terms of m and n.​

Answers

Answer: (m+n)/(mn)

Work Shown:

Josh:

1 room = m hours

1/m room = 1 hour

Kevin:

1 room = n hours

1/n room = 1 hour

We see that the rates for Josh and Kevin are 1/m and 1/n respectively. This is the amount of a room they paint in one hour. Combine the fractions

1/m + 1/n = n/(mn) + m/(mn) = (n+m)/(mn) = (m+n)/(mn)

The expression (m+n)/(mn) represents how much of the room they get painted in 1 hour. This is if they work together and it assumes neither worker slows the other one down.

1) Point M divides line segment AB, in the direction from A to B. in a ratio of 4 to 9. What value on the number line
would indicate the location of point M?​

Answers

Answer:

Point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].

Step-by-step explanation:

Two points A and B have been given on a number line.

Point A is at -3 and point B at 7.

Distance between these points AB = 7 - (-3)

                                                           = 7 + 3

                                                           = 10 units

Another point M divides the given segment AB in the ratio of 4 : 9.

Therefore, length of segment AM will be = [tex]\frac{4\times 10}{(4+9)}[/tex]

                                                                    = [tex]\frac{40}{13}[/tex]

                                                                    = [tex]3\frac{1}{13}[/tex] units

Now the position of point M will be at [tex](-3+3\frac{1}{13})[/tex] = [tex]\frac{1}{13}[/tex]

Therefore, point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].

The ant repeats the two steps 7 times going around the polygon until it reaches its starting position .the ant makes one complete revolution (360 degree) to draw this regular 7 sided polygon. The value of A correct to 1 decimal place is ____________

Answers

Answer:

(C)51.4 degrees

Step-by-step explanation:

The sum of the exterior angle of a polygon is 360 degrees. (one complete revolution).

Given a regular polygon, the sum of each exterior angle is calculated using the formula:

[tex]\dfrac{360^\circ}{n}[/tex] where n is the number of sides.

The regular polygon shown made by the ant has 7 sides.

Therefore:

Each exterior angle [tex]=\dfrac{360^\circ}{7}=51.43^\circ[/tex]

Therefore:

The value of A correct to 1 decimal place is 51.4 degrees.

The correct option is C.

Answer:

The correct value of A to 1 decimal place is [tex]51.4^o[/tex].

Step-by-step explanation:

Given information:

The ant repeats the two steps 7 times going around the polygon

The sum of the exterior angle of polygon is [tex]360^o[/tex]

The formula for the exterior angle is

[tex]= 360/n[/tex]

Here,

[tex]n=7[/tex]

Hence, the Value of A will be

[tex]A=360/7\\A=51.4^o[/tex]

The correct value of A to 1 decimal place is [tex]51.4^o[/tex].

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solve 2x - 1/5 + 2x - 19.6​

Answers

Answer:

x = 4.95

Step-by-step explanation:

4x - 19.8 = 0

4x = 19.8

x = 4.95

Exactly as above, if you solve by simple simplification then the steps would be very understandable

When hourly employees work beyond 40 hours in a week, federal law requires that they receive __________ pay. A. commissioned B. exempt C. overtime D. salaried Please select the best answer from the choices provided A B C D

Answers

Answer: D

Step-by-step explanation:

Answer:

Answer: D

Step-by-step explanation:

A teacher writes the name of each of her 25 students on a slip of paper and places the papers in a box. To call on a student, she draws a slip of paper form the box. Each paper is equally likely to be drawn, and the papers are replaced in the box after each draw. If there are 9 students in the last row, what is the probability of calling on a student in the last row

Answers

Answer:

36%

Step-by-step explanation:

Total Number of Students = 25

The number of students on the last row = 9

The probability of calling a student in the last row

[tex]=\dfrac{\text{The number of students on the last row}}{\text{Total Number of Students}}\\\\=\dfrac{9}{25}\\\\=0.36\\\\=0.36 \times 100\\\\=36\%[/tex]

The probability of calling a student in the last row is 36%.

Answer:

B 0.36

Step-by-step explanation:

work out the perimeter of this semicircle take pie to be 3.142 radius in image attached thanks (:

Answers

Answer:

[tex]\boxed{P = 56.55751919 cm}[/tex]

Step-by-step explanation:

Perimeter of semicircle = [tex]\frac{2\pi r}{2} + 2r[/tex]

Where r = 11 cm

=> P = [tex]\frac{2(3.142)(11)}{2} + 2(11)[/tex]

=> P = [tex]34.55 + 22[/tex]

=> P = 56.55751919 cm

Answer:

56.562 cm

Solution,

Radius(R)= 11 cm

Perimeter of semi-circle:

[tex]\pi \: r + 2r [/tex]

[tex] = 3.142 \times 11 + 2 \times 11[/tex]

[tex] = 34.562 + 22[/tex]

[tex]56.562 \: cm[/tex]

Hope this helps...

Good luck on your assignment..

A store charges $280 for a certain coat. This price is 40 percent more than the amount it costs the store to buy one of these coats. At the end-of-season sale, store employees can purchase any remaining coats at 30 percent off the store’s cost. How much would it cost an employee to purchase a coat of this type at this sale?

Answers

Answer:

$140

Step-by-step explanation:

280/1.4=200 (the cost of the coat)

200x0.7 = 140

Answer:

(B)

Step-by-step explanation:

its b or $140

Triangle X Y Z is shown. If m∠X = 34° and m∠Z = 26°, what is m∠Y?

Answers

Answer:

given, triangle XYZ in which m of angle X=34°

angle Z= 26°

now,angle Y =?

we have,

AngleX + angle Y+ angle Z = 180°

or, 34°+angle Y +26°=180°

or, angle Y= 180°-60°

therefore, angle Y =120°.

hope it helped..

Answer:

Triangle X Y Z is shown.

If m∠X = 34° and m∠Z = 26°, what is m∠Y?

Answer:

m∠Y = 120°

Step-by-step explanation:

I just took the test and got 100% on Edge2021

PLEASE I REALLY NEED HELP What differences are there on the graph of f(x)=2x to the graph of h(x)=2x-3?

Answers

Answer:

The graph if h(x) =2x-3 will have the same slope, but placed lower on the graph, because it's y intercept is -3, while the y-int of f(x) is 0, which is higher up on the y axis

ANSWER


Find the scale factor of the dilation shown in the diagram. 1/2 1/3 2 3

Answers

The scale factor of the dilation shown in the diagram 2.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The image and pre image are shown in figure.

Now, We know that;

The basic formula to find the scale factor of a dilated figure is,

⇒ Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Substitute the given values, we get;

⇒ Scale factor = 6 / 3

⇒ Scale factor = 2

Thus, The scale factor of the dilation shown in the diagram 2.

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Answer:1/2

Step-by-step explanation:

got it right on edge

Consider triangle ABC. Triangle A B C. Angle C is 80 degrees and angles B and A are y degrees. What is the value of y in the triangle? Angle y = °

Answers

Answer:

y is equal to 50 degrees.

Step-by-step explanation:

The sum of the angles of a triangle is always 180 degrees.  To find what y is, subtract 80 from 180 and divide the difference by 2.  This will give you 50 degrees.

Answer:

y= 50°

Step-by-step explanation:

∠A =∠B = y. So, ΔABC is an isosceles triangle.

Sum of angles of triangle = 180

∠A + ∠B + ∠C = 180

y + y + 80 = 180   {add like terms}

2y + 80 = 180  {Subtract 80 from both sides}

2y + 80 - 80 = 180 - 80

2y = 100   {divide both sides by 2}

2y/2 = 100/2

y= 50°

5.
If m • 6 + 3 x 4 = 240, the value of m is
(1) 28
(2) 38
(3) 40
(4) 43

Answers

Answer:

38

Step-by-step explanation:

The rule of PEMDAS (parentheses, exponents, multiply, divide, addition, subtraction) must be followed when solving this equation.

1. Simplify the equation

m · 6 + 3 · 4 = 240

m · 6 + 12 = 240

2. Solve for m

- subtract 12 from both sides

m · 6 = 228

- divide both sides by 6

228 ÷ 6 = 38

m = 38

Answer:

38 is right

Step-by-step explanation

i just took the test

Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes eight hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?

Answers

Answer:

  3 1/3 hours

Step-by-step explanation:

In 2 hours, the first guy did 2/6 = 1/3 of the job. Meanwhile, the new guy did 2/8 = 1/4 of the job. When the first guy left, the remaining amount of the job was ...

  1 - 1/3 - 1/4 = 12/12 -4/12 -3/12 = 5/12 . . . . . fraction of job remaining

So, completion of the remaining 5/12 of the job will take the new guy ...

  (5/12)(8 hours) = 10/3 hours = 3 1/3 hours

what are the points of intersection of -x^2+9x-3 and y=3x

Answers

Answer:

Easiest and fastest way is to graph both equations into a graphing calc and trace the graph to where they intersect.

Alternatively, you can use substitution to solve for your answer.

Step-by-step explanation:

Find the probability that a student earns a grade D or F

Answers

Answer: P = 1/7

Explanation:
There 35 students total and there are 3 students with grade D and 2 students with Grade F

3/35 + 2/35 = 5/35 = 1/7

Answer:

P=.14 or 1/7

Step-by-step explanation:

P(d)=3/35

P(f)=2/35

P( D or F) = 3/35 + 2/35=

1/7 or .14

What is the solution of the following system 5x+2y+z=4 x+2z=4 2x+y-z=-1

Answers

Let us take the 2nd equation.

x + 2z = 4

x = 4 - 2z

Let us substitute this value of x in equation 1.

5x + 2y + z = 4

5(4-2z) + 2y + z = 4

20 - 10z + 2y + z = 4

2y - 9z + 20 = 4

2y = 9z - 16

y = (9z - 16)/2

Let us substitute this value of y, as well as that of x that we used earlier, in the third equation.

2x + y - z = -1

2(4-2z) + (9z-16)/2 + z = -1

8 - 4z + (9z/2) - 8 + z = -1

Let us multiply both sides of this equation by 2.

16 - 8z + 9z - 16 + 2z = -2

3z = -2

z = [tex]\frac{-2}{3}[/tex]

x = 4 - 2z

  = 4 + [tex]\frac{4}{3}[/tex]

  = [tex]\frac{16}{3}[/tex]

y = (9z-16)/2

  = ([tex]\frac{-18}{3}[/tex] - 16)/2

  = ( [tex]\frac{-66}{3}[/tex])/2

  = -22/2

  = -11

Therefore, x = [tex]\frac{16}{3}[/tex], y = -11, and z = [tex]\frac{-2}{3}[/tex].


Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
left 1 unit, up 5 units
right 1 unit, up 5 units
left 2 units, up 2 units
right 2 units, up 2 units

Answers

Answer:

left 1 unit, up 5 units

Step-by-step explanation:

First factor

g(x)=x^2+2x+6 = (x+1)^2+5

The standard transformation formula is

g(x) = a*f(bx-h) + k

which means

a=1, b=1,h=-1, k=5

or

h=-1 means translate left one unit

k=5 means translate up 5 units.  

Choose the first option: left 1 unit, up 5 units

Answer:

A

Step-by-step explanation:

Which equation has no solution?

1. 4(x+3)+2x=6(x+2)
2. 5+2(3+2x)=x+3(x+1)
3. 5(x+3)+x=4(x+3)+3
4. 4+6(2+x)=2(3x+8)

Answers

Answer:

Number 3 does not have a solution

Step-by-step explanation:

you are riding the bus to school and you realize it is taking longer because of all the stops you are making

Answers

Answer:

Clearly, the answer is 17, because the difference in speed between a direct trip and one with the various stops of the bus is 46 hours and 6 minutes.  However, rounding to the nearest hour, it is 46 0/2 hours, or 46 hours.  Thus, accounting for the varying lack of stop signs, you can distribute the range of children and therefore extended breaks, allowing you to bring the time down to 16.  However, if you translate hours to minutes on a broken calculator you get 14.  So, the answer is 14

Brainliest??

I'm kind of unsure of my answer, please help me. I appreciate your answers.

Find two consecutive integers whose sum is 113. Which of the following equations could be used to solve the problem?

choices:
2 x + 1 = 113
[tex]x^{2}[/tex] + 1= 113
2 x = 113
2 x + 2 = 113

Answers

Answer:

We can call the numbers x and x + 1. Then we can write:

x + x + 1 = 113 which simplifies to 2x + 1 = 113.

Answer:

Hey there!

The correct answer would be x+x+1=113, or 2x+1=113.

Let the smaller number be x, then the larger number would be x+1

Thus, the sum of x and x+1 would be 2x+1.

We have that 2x+1=113.

Now, this is just a simple linear equation we have to solve.

Start by subtracting 1 to get 2x=112

Then, divide by 2 to get x=56

Since x=56, x+1 would be 57.

Thus, you would have the two numbers be 56 and 57, and use 2x+1 to solve.

Hope this helps :)

Please answer! I will mark brainliest for best answer :)

Answers

Answer:

5

Step-by-step explanation:

Number of players injured in a game count the other side

Do 26 and if u want to do 27 too I’ll give Brainlynest

Answers

Answer:

26) translation: (x - 4, y + 3)

27) see down below

Step-by-step explanation:

26) Its a translation since the shape isn't reflected nor rotated. To find the translation, you can see that the shape would move 4 to the left (- 4), and up 3 ( + 3), which gives you (x - 4, y + 3) (x determines left/right and y determines up/down).

27)

<1 = 135

<2 = 45

<3 = 45

<4 = x = 20

<5 = 135

<6 = 45

<8 = 135

A professional football prospect runs 40 yards dash in 5 seconds. What is the player's average speed over this distance

Answers

Answer:

average speed = 8y/s

Step-by-step explanation:

What is the player's average speed over this distance ?

Formula

s = d/t

d = 40 yards

t = 5 seconds

s = 40y/5s

= 8y/s

an example that describes a situation which could be modelled by the equation M = 50 + 6d

Answers

Answer:

Cost of staying hotel with fixed charge of 50 and $6 for each day stay

where d is number of days of stay

M is total money charged by hotel.

Step-by-step explanation:

We have to describe a situation to fit into the given model.

model is M = 50 + 6d

it consist of two part

constant part 50

and variable part 6d which depends on value of d,

Let take M as money

d as days

in hotel,  hotel service charge is fixed at 50

and for each day stay 6$ is charged.

Thus,

total money charged by hotel will be equal to sum of

fixed part 50

$6d for staying d days in the hotel

which can be modeled by given equation

M = 50 + 6d

find the 7th term of the geometric progression which begins with -6250,1250,-250

Answers

Answer:

a₇ = - 0.4

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , thus

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex]

    = - 6250 × [tex]\frac{1}{15625}[/tex] = - [tex]\frac{6250}{15625}[/tex] = - 0.4

Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 32 feet, and 48 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 2nd longest side on quadrilateral EFGH?

Answers

Answer:

24 feet

Step-by-step explanation:

12 ÷ 18=16/y

2y=3*16

y=24

need help with this question, i dont think its hard for you.​

Answers

Since there’s a dash on two of the sides, that means they equal in length.

So I just did 2(3x+5) since theres 2 sides the same. Since we know what the equations are for all three sides, we add them together and set it equal to 97. Then we solve for x. Look at my picture for the work.

As you can see, we get x= 9
The question is looking for the base so you plug in 9 into the base. 3(9)+5 which we get 32.

Final answer: 32cm

Please let me know if this helped!! Or rate it the brainlist
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